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Diffstat (limited to 'openssl/doc/crypto/BN_mod_mul_montgomery.pod')
-rw-r--r-- | openssl/doc/crypto/BN_mod_mul_montgomery.pod | 101 |
1 files changed, 0 insertions, 101 deletions
diff --git a/openssl/doc/crypto/BN_mod_mul_montgomery.pod b/openssl/doc/crypto/BN_mod_mul_montgomery.pod deleted file mode 100644 index 6b16351..0000000 --- a/openssl/doc/crypto/BN_mod_mul_montgomery.pod +++ /dev/null @@ -1,101 +0,0 @@ -=pod - -=head1 NAME - -BN_mod_mul_montgomery, BN_MONT_CTX_new, BN_MONT_CTX_init, -BN_MONT_CTX_free, BN_MONT_CTX_set, BN_MONT_CTX_copy, -BN_from_montgomery, BN_to_montgomery - Montgomery multiplication - -=head1 SYNOPSIS - - #include <openssl/bn.h> - - BN_MONT_CTX *BN_MONT_CTX_new(void); - void BN_MONT_CTX_init(BN_MONT_CTX *ctx); - void BN_MONT_CTX_free(BN_MONT_CTX *mont); - - int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *m, BN_CTX *ctx); - BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to, BN_MONT_CTX *from); - - int BN_mod_mul_montgomery(BIGNUM *r, BIGNUM *a, BIGNUM *b, - BN_MONT_CTX *mont, BN_CTX *ctx); - - int BN_from_montgomery(BIGNUM *r, BIGNUM *a, BN_MONT_CTX *mont, - BN_CTX *ctx); - - int BN_to_montgomery(BIGNUM *r, BIGNUM *a, BN_MONT_CTX *mont, - BN_CTX *ctx); - -=head1 DESCRIPTION - -These functions implement Montgomery multiplication. They are used -automatically when L<BN_mod_exp(3)|BN_mod_exp(3)> is called with suitable input, -but they may be useful when several operations are to be performed -using the same modulus. - -BN_MONT_CTX_new() allocates and initializes a B<BN_MONT_CTX> structure. -BN_MONT_CTX_init() initializes an existing uninitialized B<BN_MONT_CTX>. - -BN_MONT_CTX_set() sets up the I<mont> structure from the modulus I<m> -by precomputing its inverse and a value R. - -BN_MONT_CTX_copy() copies the B<BN_MONT_CTX> I<from> to I<to>. - -BN_MONT_CTX_free() frees the components of the B<BN_MONT_CTX>, and, if -it was created by BN_MONT_CTX_new(), also the structure itself. - -BN_mod_mul_montgomery() computes Mont(I<a>,I<b>):=I<a>*I<b>*R^-1 and places -the result in I<r>. - -BN_from_montgomery() performs the Montgomery reduction I<r> = I<a>*R^-1. - -BN_to_montgomery() computes Mont(I<a>,R^2), i.e. I<a>*R. -Note that I<a> must be non-negative and smaller than the modulus. - -For all functions, I<ctx> is a previously allocated B<BN_CTX> used for -temporary variables. - -The B<BN_MONT_CTX> structure is defined as follows: - - typedef struct bn_mont_ctx_st - { - int ri; /* number of bits in R */ - BIGNUM RR; /* R^2 (used to convert to Montgomery form) */ - BIGNUM N; /* The modulus */ - BIGNUM Ni; /* R*(1/R mod N) - N*Ni = 1 - * (Ni is only stored for bignum algorithm) */ - BN_ULONG n0; /* least significant word of Ni */ - int flags; - } BN_MONT_CTX; - -BN_to_montgomery() is a macro. - -=head1 RETURN VALUES - -BN_MONT_CTX_new() returns the newly allocated B<BN_MONT_CTX>, and NULL -on error. - -BN_MONT_CTX_init() and BN_MONT_CTX_free() have no return values. - -For the other functions, 1 is returned for success, 0 on error. -The error codes can be obtained by L<ERR_get_error(3)|ERR_get_error(3)>. - -=head1 WARNING - -The inputs must be reduced modulo B<m>, otherwise the result will be -outside the expected range. - -=head1 SEE ALSO - -L<bn(3)|bn(3)>, L<ERR_get_error(3)|ERR_get_error(3)>, L<BN_add(3)|BN_add(3)>, -L<BN_CTX_new(3)|BN_CTX_new(3)> - -=head1 HISTORY - -BN_MONT_CTX_new(), BN_MONT_CTX_free(), BN_MONT_CTX_set(), -BN_mod_mul_montgomery(), BN_from_montgomery() and BN_to_montgomery() -are available in all versions of SSLeay and OpenSSL. - -BN_MONT_CTX_init() and BN_MONT_CTX_copy() were added in SSLeay 0.9.1b. - -=cut |